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Finding the Fourth Proportional to 24,261.60, 33,478.62 and 13,651

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Solution

The fourth proportional to 24,261.60, 33,478.62 and 13,651 is: 18,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,261.60 : 33,478.62 = 13,651 : x
  2. Step 2: Convert to fraction form
    24,261.60/33,478.62 = 13,651/x
  3. Step 3: Cross multiply
    24,261.60x = 33,478.62 × 13,651
  4. Step 4: Simplify right side
    24,261.60x = 457,016,641.62
  5. Step 5: Solve for x
    x = 457,016,641.62/24,261.60
  6. Step 6: Final answer
    x = 18,837.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.